NONLINEAR ADDITIVE ARX MODELS

被引:105
|
作者
CHEN, R [1 ]
TSAY, RS [1 ]
机构
[1] UNIV CHICAGO,GRAD SCH BUSINESS,CHICAGO,IL 60637
关键词
ADDITIVITY; ALTERNATING CONDITIONAL EXPECTATION (ACE) ALGORITHM; BEST SUBSET REGRESSION; BRUTO ALGORITHM; RIVER FLOW; TIME SERIES; VARIABLE SELECTION;
D O I
10.2307/2290787
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
We consider in this article a class of nonlinear additive autoregressive models with exogenous variables for nonlinear time series analysis and propose two modeling procedures for building such models. The procedures proposed use two backfitting techniques (the ACE and BRUTO algorithms) to identify the nonlinear functions involved and use the methods of best subset regression and variable selection in regression analysis to determine the final model. Simulated and real examples are used to illustrate the analysis.
引用
收藏
页码:955 / 967
页数:13
相关论文
共 50 条
  • [1] Estimation of nonlinear ARX models
    Zhu, YC
    Control, TJ
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 2214 - 2219
  • [2] Additive nonlinear ARX time series and projection estimates
    Masry, E
    Tjostheim, D
    ECONOMETRIC THEORY, 1997, 13 (02) : 214 - 252
  • [3] Stabilizing predictive control of nonlinear ARX models
    DeNicolao, G
    Magni, L
    Scattolini, R
    AUTOMATICA, 1997, 33 (09) : 1691 - 1697
  • [4] On Identification of Nonlinear ARX Models with Sparsity in Regressors and Basis Functions
    Singh, Rajiv
    Sznaier, Mario
    IFAC PAPERSONLINE, 2021, 54 (07): : 720 - 725
  • [5] The Additive Differential Probability of ARX
    Velichkov, Vesselin
    Mouha, Nicky
    De Canniere, Christophe
    Preneel, Bart
    FAST SOFTWARE ENCRYPTION (FSE 2011), 2011, 6733 : 342 - 358
  • [6] Nonparametric estimation of additive nonlinear ARX time series: Local linear fitting and projections
    Cai, ZW
    Masry, E
    ECONOMETRIC THEORY, 2000, 16 (04) : 465 - 501
  • [7] On additive perturbations in nonlinear regression models
    Potocky, R
    Ban, TV
    TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, VOL 17, 1998, : 65 - 70
  • [8] Frequency domain identification of ARX models in the presence of additive input-output noise
    Soverini, Umberto
    Soderstrom, Torsten
    IFAC PAPERSONLINE, 2017, 50 (01): : 6226 - 6231
  • [9] Classifying Linear and Nonlinear Structural Damage Using Frequency Domain ARX Models
    Adams, Douglas E.
    Farrar, Charles R.
    STRUCTURAL HEALTH MONITORING-AN INTERNATIONAL JOURNAL, 2002, 1 (02): : 185 - 201
  • [10] An Atomic Norm Minimization Framework for Identification of Parameter Varying Nonlinear ARX Models
    Singh, Rajiv
    Sznaier, Mario
    Ljung, Lennart
    IFAC PAPERSONLINE, 2019, 52 (28): : 1 - 6